Carlos Rocha

activity

20232025

most citedClassification of global attractors for

S^{1}

-equivariant parabolic equations: a survey

1 citations · 1 across the 1 of their papers we have counts for

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math.DS2025★ 1 cited

Classification of global attractors for $S^{1}$ -equivariant parabolic equations: a survey

Carlos Rocha, Bernold Fiedler, Alejandro López-Nieto

We survey the global dynamics of semiflows generated by scalar semilinear parabolic equations which are $SO (2)$ equivariant under spatial shifts of $x\in \mathbb{S}^1=\mat…

math.DS2024

Classification of connection graphs of global attractors for $S^{1}$ -equivariant parabolic equations

Carlos Rocha

We consider the characterization of global attractors $A_{f}$ for semiflows generated by scalar one-dimensional semilinear parabolic equations of the form $u_{t} = u_{xx} + f (u, u_{x})$ ,…

math.DS2023

On the structure of the infinitesimal generators of semigroups with discrete Lyapunov functionals

Giorgio Fusco, Carlos Rocha

Dynamical systems generated by scalar reaction-diffusion equations on an interval enjoy special properties that lead to a very simple structure for the semiflow. Among these proper…

Classification of global attractors for S1-equivariant parabolic equations: a survey

Classification of connection graphs of global attractors for S1-equivariant parabolic equations

On the structure of the infinitesimal generators of semigroups with discrete Lyapunov functionals

Classification of global attractors for $S^{1}$ -equivariant parabolic equations: a survey

Classification of connection graphs of global attractors for $S^{1}$ -equivariant parabolic equations